The sum of two polynomials is â€"yz2 â€" 3z2 â€" 4y 4. If one of the polynomials is y â€" 4yz2 â€" 3, what is the other polynomial? â€"2yz2 â€" 4y 7 â€"2yz2 â€" 3y 1 â€"5yz2 3z2 â€" 3y 1 3yz2 â€" 3z2 â€" 5y 7.

Answers

Answer 1

The sum of polynomials involves adding the polynomials

The other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]

The sum of the polynomials is given as:

[tex]Sum = y^3 + 3y^2 + 4y - 4[/tex]

One of the polynomials is given as:

[tex]P = 4y^2 - 3[/tex]

Represent the other polynomial with Q.

So, we have:

[tex]P +Q =Sum[/tex]

Substitute the expressions for P and Sum

[tex]4y^2 - 3 +Q =y^3 + 3y^2 + 4y - 4[/tex]

Make Q the subject

[tex]Q =y^3 + 3y^2 -4y^2+ 4y - 4 +3[/tex]

Evaluate like terms

[tex]Q =y^3 -y^2+ 4y - 1[/tex]

Hence, the other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]

Read more about polynomials at:

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Related Questions

a triangle with side 9,10and 11 has the same perimeter as a square with sides of length

Answers

Answer:

7.5.

Step-by-step explanation:

A square has 4 equal sides so:

4x =  9  + 10 + 11    where x is the length of one side of the square.

4x = 30

x = 7.5.

Find the area of the figure.

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

At first Divide the figure into two rectangles, I and Il

Area of figure l is ~

[tex] \sf24 \times (40 - 30)[/tex]

[tex] \sf24 \times 10[/tex]

[tex] \sf240 \: \: ft {}^{2} [/tex]

Area of figure ll is ~

[tex] \sf 18 \times 30[/tex]

[tex] \sf540 \: ft{}^{2} [/tex]

Area of whole figure = Area ( l + ll )

that is equal to ~

[tex] \sf240 + 540[/tex]

[tex] \sf780 \: \: ft{}^{2} [/tex]

Help me please on question one and two

Answers

Answer:

can you show me a better picture your problems are cut off

Step-by-step explanation:

Who every gets it right will get Brainly and 20points

Answers

Answer: Third multiple choice

Step-by-step explanation:

First answer:

Since the fraction is increased by 7, we need to check if the increasing factor is the same for the bottom part of the fraction:

[tex]2.54*7=17.78\neq 17.68[/tex]

The first answer doesn't match, we do the same for all three remaining answer.

2)[tex]12*7=84\neq 74[/tex]

3)[tex]36*7=252[/tex]

4)[tex]3.28*7=22.96\neq22.86[/tex]

In this case, the answer is the third multiple choice.

PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL

A 14 cm cube is built from small cubes, each 2 cm on an edge. Compare the edge lengths of the two cubes.
9:1
7:1
8:1
10:1

Answers

Answer:

7:1

Step-by-step explanation:

Write the formula for the volume of a rectangular solid of length " l, " width " w, " and height " h. " Write the variable equation/write formula using the variables


Select one:


V=lwh


V= (lw)/h


V=(hl)/w


V=(hw)/l

Answers

The formula to find the volume of a rectangular solid is the first one.
V = lwh

4/5 of a dollar is how many cents?

Answers

Answer:

4/5 of a dollar is 80 cents.

Step-by-step explanation:

1 dollar = 100 cents=> 4/5 x 100=> 4 x 20=> 80 cents.

Conclusion:

Therefore, 4/5 of a dollar is 80 cents.

Hoped this helped.

[tex]GeniusUser[/tex]

The value of cents in 4/5 dollars would be 80 cents.

Used the concept of measurement unit that states,

A measurement unit is a standard quality used to express a physical quantity. Also, it refers to the comparison between the unknown quantity with the known quantity.

Since we know that;

1 dollar = 100 cents

Hence we get;

The number of cents in 4/5;

4/5 x 100

4 x 20

80 cents.

Therefore, 4/5 of a dollar is 80 cents.

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#SPJ3

The oblique prism below has an isosceles right triangle base.

An oblique right triangular prism is shown. The triangular bases have 2 sides with a length of x. The length of they hypotenuse is unknown. The distance from the 2 triangular bases is (x + 3). The vertical height of the prism is (x + 2).

What expression represents the volume of the prism, in cubic units?

One-halfx3 + x2
One-halfx3 + Three-halves x2
x3 + x2
x3 + 3x2

Answers

The volume of the prism, in cubic units is 1/2x³ + x²

The volume of the oblique prism is given as:

V = Base area * Height

Given the following

Height = x + 2Base area = area of the triangle

Base area = 1/2 (x*x)

Base area = 1/2 x²

Get the volume of the prism;

Volume of the prism = 1/2(x²)(x+2)

Volume of the prism = 1/2(x³+2x²)

Volume of the prism = 1/2x³ + 1/2(2x²)

Volume of the prism = 1/2x³ + x²

Hence the volume of the prism, in cubic units is 1/2x³ + x²

Learn more on the volume of prism here: https://brainly.com/question/23963432

Answer:

1/2x³ + x²

Step-by-step explanation:

edg

What is the equation of the line with a y-intercept of -10 and a slope of 7?

Answers

Answer:

do it got a picture

Step-by-step explanation:

answer: y=7x-10

y=mx+b
y=slope(x)+y-intercept

will give brainliest plz help

Answers

4.6(if rounded) or 4.57 (if not rounded)
There are 32oz for the full week, all you have to do is divide that by 7 to find the average for each day :)

Which statement is not used to prove that triangle ABC is similar to triangle ADC?

Answers

Answer:

what are the statements we pick from?

Step-by-step explanation:

most likely look out for angles and lengths that go against the established ratio

Please answer this question with step by step method.

Answers

Answer:

x = 3/2 or 1.5

Step-by-step explanation:

(9(4x-1))/2x = 15

simplify the 9(4x-1) = 36x-9

(36x-9)/2x = 15

multiply both sides by 2x to take out the fraction

36x-9 = 15(2x)

36x-9 = 30x

subtract by 30x on both sides, and add 9 on both sides

36x-9-30x = 0

36x-30x = 9

6x = 9

x = 9/6 = 3/2 or 1.5

Hello!! can you please help me? I've been trying to answer this question for a while now, but I cant seem to figure it out. (9th grade Geometry).

Answers

I’m still looking but it may take me awhile I’m not the greatest at this but this is what I have:
A=50
B=50
C=58
M=130

i need help no links​

Answers

1
hope it help you and good luck

if shan has rupees 4800 left after spending 40% of his salary how much did he have in the beginning ​

Answers

Step-by-step explanation:

I think that's clear enough

can i please have help with this question
brainliest for answer

Answers

Answer:

yes I can help

Step-by-step explanation:

which one please

The round off value of 38.23 to the nearest whole number is?

Answers

Answer:

38

Step-by-step explanation:

38.23 is closest to 28, because neither the .2 or .03 is high enough to round the last whole number up

Answer:

Rounding 38.23 to the nearest whole number would be 38

Step-by-step explanation:

Rounding 38.23 to the nearest whole number would be 38 because the extra 0.23 is less than 0.50

If it was 0.50, the answer would go up to 39.

on a winter monday in nepal, the temperature was -8F. by 1 pm, it was 27F. how many degrees did the temperature change?

Answers

Answer:

35 degrees.

Step-by-step explanation:

Answer:

35 degrees

Step-by-step explanation:

27 - 35 = -8

Solve for x.
1/3 x+4=-2/3 x+12

Answers

Answer:

x = 8

Step-by-step explanation:

1. Group all x terms on the left side of the equation

1/3· x+4=-2/3·x+12

Add  2/3x to both sides:

1/3x+4+2/3·x=-2/3x+12+2/3·x

Group like terms:

1/3·x+2/3·x+4=-2/3·x+12+2/3·x

Combine the fractions:

1+2/3·x+4=-2/3·x+12+2/3·x

Combine the numerators:

3/3·x+4=-2/3·x+12+2/3·x

Find the greatest common factor of the numerator and denominator:

1·3/1·3·x+4=-2/3·x+12+2/3·x

Factor out and cancel the greatest common factor:

1x+4=-2/3·x+12+2/3·x

Simplify the left side:

x+4=-2/3·x+12+2/3·x

Group like terms:

x+4=-2/3·x+2/3·x+12

Combine the fractions:

x+4=-2+2/3·x+12

Combine the numerators:

x+4=0/3·x+12

Reduce the zero numerator:

x+4=0x+12

Simplify the arithmetic:

x+4=12

2. Group all constants on the right side of the equation

Subtract 4 from both sides:

x+4-4=12-4

Simplify the arithmetic:

x=12-4

Simplify the arithmetic:

x=8

Answer:

x=8

Step-by-step explanation:

1/3x +4= -2/3 +12

Subtract 4 from both sides: 1/3x + 4-4 = -2/3x + 12 -4

Simplify: 1/3x = 2/3x + 8

Add 2/3x to both sides: 1/3x + 2/3x = -2/3x + 8 + 2/3x

Simplify: x=8

can someone explain to me what this means

Answers

Answer:

2*2*2*3*5

Step-by-step explanation:

It is saying that 120 is the same as 24*5, and that 24* 5 is the same as 5 *2*12, which is that same as 5*2*3*4, which is then the same as 5*2*3*2*2.

Answer:

2 x 2 x 2 x 3 x 5

Step-by-step explanation:

geometry - please help

solve for x & y

Answers

Hope it helps.

Don't forget to click the Brainliest button if you like my answer and if you have any query, feel free to ask in the comment section.

Solve the following equations. 2x - 7 = 11
help me please it's urgent​

Answers

Answer:

X=9

Step-by-step explanation:

2x-7=11

Add 7 each side

2x - 7 +7 =11 + 7

2x=18

Divide by 2 each side

2x/2=18/2

x=9

Answer:

x = 9

Step-by-step explanation:

2x - 7 = 11

Add 7 to both sides: 2x = 18

Divide by 2: x = 9

May I please receive help?

Answers

Step-by-step explanation:

28^2+x^2=32^2

784+x^2=1024

x^2=240

x=15.49

x=~15.5

Ok done. Thank to me:>

How would four billion, nineteen million, three hundred thirty-seven thousand, two be written in standard form?

Answers

4,019,337,002 is the answer

The latest mystery novel cost $24 the table shows the sales of that this novel by a bookstore what was the dollar amount of the sales of the mystery novel on Saturday right in equation tomorrow to work

Day. Books sold

Thursday. 93

Friday. 103

Saturday 157

Sunday. 116

Answers

Answer:

  $3768

Step-by-step explanation:

The amount of sales will be the product of the selling price of each book and the number of books sold.

  sales = book price × number of books

  sales = $24 × 157 . . . . . . . . books sold on Saturday

  sales = $3768 . . . . . . . . . . . sales on Saturday

HELP PLEASE
Use the value of the discriminant to determine the number and type of roots for the equation,
X^2 = 4x - 4
A. 2 real, irrational roots
B. 1 real, rational root
C. 2 complex roots
D. 2 real, rational roots

Answers

We are given –

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x² = 4x -4[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x² -4x +4 = 0[/tex]

Where, a = 1 ; b = -4 ; c = 4

Let's find it's discriminant.

We know

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf Discriminant = b² - 4ac}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf Discriminant = (-4)² - 4 \times 1 \times 4[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf Discriminant = 16-16[/tex]

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\sf Discriminant =0 }[/tex]

If Δ (Discriminant) >0here are two separate real roots.If Δ (Discriminant) =0, there are two identical real roots.If Δ (Discriminant) <0, there are no real roots, but there are two complex roots.

As we got

Δ Discriminant is 0 that means , there are two identical real roots. Henceforth, Option (D) 2 real, rational roots – is correct.

If Y varies directly with x , and y=15 when x=3 write the direct linear variation equation

Answers

Something is wrong with th

Brittany is a scientist.She is recording the number of cells in a dish.After each hour,the cell divides into four cells.The sequence shown represents the growth of the cells. 1,4,16,64,256,. . . Which explicit formula represents this situation

Answers

Answer:

4^n-1

Step-by-step explanation:

So given sequence is a geometric sequence where terms increase or decrease by a constant common ratio(r)

Formula to find terms in Geometric sequence is " ar^n-1 where a is first term , r is common ratio and n is number of items

In this case , first term (a) is 1 , common ratio(r) is succeeding term/preceding term = 4/1 = 4 and number of items be (n).

Applying "ar^n-1 " we get,

1*4^n-1 which is , 4^n-1

Thats the formula which represents the situation....

will mark brainliest

Answers

Answer:

K (-1,-1)

Step-by-step explanation:

A cross country race has 45 runners competing for first through fourth place. Complete the statement describing this situation. This is an example of a There are possible arrangements of first through fourth place winners. ​

Answers

"This is an example of a combination. There are 148,995 possible arrangements of first through fourth place winners. ​

If a  cross country race has 45 runners competing for first through fourth place, this statement is an example of a combination.

Combination has to do with selection. Since we are to select thee first four positions from the 45 runners. To get the possible number of arrangements, we will use the combination formula;

nCr = n!/(n-r)!r!

45C4 = 45!/(45-4)!4!

45C4 = 45!/41!4!

45C4 = 45*44*43*42*41!/41!*4!

45C4 = 45*44*43*42/4*3*2

45C4 = 3,575,880/24

45C4 = 148,995

Therefore the correct statement is that "this is an example of a combination. There are 148,995 possible arrangements of first through fourth place winners. ​

Learn more on combination here: https://brainly.com/question/11732255

answer: permutation and 3,575,880 (plato/edmentum)

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